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Alexxandr [17]
3 years ago
8

Which statement are true about the angles in the diagram? Check all that apply

Mathematics
2 answers:
katrin [286]3 years ago
7 0

Answer:

the last one

Step-by-step explanation:

angle bcd is congrulent to ace

Ivanshal [37]3 years ago
7 0

Answer:

Options B,C,E are true.

Step-by-step explanation:

It has been given in the question ∠ACD is supplementary to ∠ACE and ∠BCD

∠ACD ≅ ∠BCE

Option A. ∠ACE is supplementary to ∠BCD

False. They are not lying on a point of straight line.

∠ACE + ∠BCD ≠180°

Option B. ∠BCE is supplementary to ∠ACE

Since ∠ACD + ∠ACE = 180° [Given]

and ∠ACD ≅ ∠BCE [Given]

Therefore, ∠BCE + ∠ACE = 180°

TRUE.

Option C. ∠BCD is supplementary to ∠BCE

Since ∠ACD + ∠BCD = 180°[Given]

and ∠ACD ≅ ∠BCE [Given]

So ∠BCE + ∠BCD = 180°

TRUE.

Option D. ∠ACE ≅ ∠BCE

Since ∠ACD + ∠ACE = 180°

And ∠ACD + ∠BCD = 180°

This is clear from these equations that ∠ACE is supplementary to ∠BCD.

FALSE :

Option E. ∠BCD is congruent to ∠ACE

As we have already proved in option D. ∠BCD ≅ ∠ACE

TRUE

Therefore, Options B, C, E are TRUE

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Answer:

0.292371705 if A=17

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Step-by-step explanation:

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Find the area of the triangle with the given base and height.<br> b = 3 m and h = 10 1/2 m
svetoff [14.1K]

<u>Statement</u><u>:</u>

The base of a triangle is 3m and its height is 10 \frac{1}{2} m.

<u>To </u><u>find </u><u>out:</u>

The area of the triangle.

<u>Solution:</u>

  • Given, base = 3m, height = 10 \frac{1}{2}m
  • We know,

\sf \: area \:  \:  of \:  \: a \:  \: triangle =  \frac{1}{2}  \times base \:  \times height

  • Therefore, the area of the triangle

\sf =  (\frac{1}{2}  \times 3 \times 10 \frac{1}{2} ) {m}^{2}  \\ \sf  = ( \frac{1}{2}  \times 3 \times  \frac{21}{2} ) {m}^{2}  \\  = \sf  \frac{63}{4}  {m}^{2}  \\  =   \sf 15\frac{3}{4}  {m}^{2}

<u>Answer</u><u>:</u>

The area of the triangle is \sf \: 15 \frac{3}{4}  {m}^{2}

Hope you could understand.

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The diagram shows a square with perimeter 20 cm.
olga_2 [115]

The percentage of the area inside the square that is shaded is 55%.

<h3>What is the perimeter of the square?</h3>

Given:

The perimeter of the square is 20Cm

Each side of the square is = 5Cm

Area = ( Length x Width )

(5 x 5) = 25 =Area

Area = 25

Area of triangle 1 = (1/2) x 5 x (5 - 3) = 5 cm²

Area of triangle 2 = (1/2) x 5 x (5 - 3.5) = 6.25 cm²

Area of shaded portion = 25 - (5 + 6.25) = 13.75 cm²

Percentage of shade portion

= (13.75 cm² / 25 cm²) x 100%

= 55%

The percentage of the area inside the square that is shaded is 55%.

Learn more about area;

brainly.com/question/14297327

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